7417420920 has 384 divisors, whose sum is σ = 29818938240. Its totient is φ = 1557135360.

The previous prime is 7417420891. The next prime is 7417420957. The reversal of 7417420920 is 290247147.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8418880 + ... + 8419760.

It is an arithmetic number, because the mean of its divisors is an integer number (77653485).

Almost surely, 2^7417420920 is an apocalyptic number.

7417420920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7417420920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14909469120).

7417420920 is an abundant number, since it is smaller than the sum of its proper divisors (22401517320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7417420920 is a wasteful number, since it uses less digits than its factorization.

7417420920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7417420920 is about 86124.4501869243. The cubic root of 7417420920 is about 1950.2231539489.

The spelling of 7417420920 in words is "seven billion, four hundred seventeen million, four hundred twenty thousand, nine hundred twenty".